Let f left parenthesis x right parenthesis equals 6 x squared e to the power of 2 x to the power of 4 minus 9 end exponent. Find the differential, d f. a.) d f equals 96 x to the power of 4 e to the power of 2 x to the power of 4 minus 9 end exponent d x b.) d f equals left parenthesis 12 x e to the power of 2 x to the power of 4 minus 9 end exponent plus 48 x to the power of 5 e to the power of 2 x to the power of 4 minus 9 end exponent right parenthesis d x c.) d f equals 12 x e to the power of 2 x to the power of 4 minus 9 end exponent plus 48 x to the power of 5 e to the power of 2 x to the power of 4 minus 9 end exponent d.) d f equals 96 x to the power of 4 e to the power of 2 x to the power of 4 minus 9 end exponent